Wronskian Form of N-Solitonic Solution for a Variable-Coefficient Korteweg-de Vries Equation with Nonuniformities

作     者：CAI Ke-Jie TIAN Bo ZHANG Cheng ZHANG Huan MENG Xiang-Hua LU Xing GENG Tao LIU Wen-Jun 

作者机构：School of Science P.O. Box 122 Beijing University of Posts and Telecommunications Beijing 100876 China State Key Laboratory of Software Development Environment Beijing University of Aeronautics and Astronautics Beijing 100083 China Key Laboratory of Optical Communication and Lightwave Technologies Ministry of Education Beijing University of Posts and Telecommunications Beijing 100876 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2008年第50卷第11期

页      面：1185-1188页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China under Grant Nos.60772023 and 60372095 the Key Project of the Ministry of Education under Grant No.106033 the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.SKLSDE-07-001 Beijing University of Aeronautics and Astronautics,the National Basic Research Program of China(973 Program)under Grant No.2005CB321901 the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20060006024,the Ministry of Education 

主　　题：variable-coefficient KdV equation bilinear auto-Bocklund transformation N-solitonic solution Wronskian determinant 

摘      要：By the symbolic computation and Hirota method, the bilinear form and an auto-Backlund transformation for a variable-coemcient Korteweg-de Vries equation with nonuniformities are given. Then, the N-solitonic solution in terms of Wronskian form is obtained and verified. In addition, it is shown that the （N - 1）- and N-solitonic solutions satisfy the auto-Backlund transformation through the Wronskian technique.